35051
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of positive integers <= 2^n of form x^2 + 8 y^2.at n=18A054152
- a(n) = (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36.at n=25A121888
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (-1, 1), (0, 1), (1, -1), (1, 1)}.at n=9A151452
- Largest of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 + 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=4A153408
- First primes of an arithmetic progression of six primes with common difference 30.at n=11A156204
- Primes p of the form 4*k+3 such that p+2 is prime and p-1 is nonsquarefree.at n=30A175606
- Primes that are the sum of 25 consecutive primes.at n=39A215991
- Prime(n), where n is such that (Sum_{i=1..n} prime(i)^19) / n is an integer.at n=6A233767
- Primes obtained by merging 5 successive digits in the decimal expansion of sqrt(2) + sqrt(3) + sqrt(5).at n=15A241221
- Larger of emirp pairs that are merely reversals of their end digits.at n=29A263242
- Primes of the form abs(1/(36)(n^6 - 126n^5 + 6217n^4 - 153066n^3 + 1987786n^2 - 13055316n + 34747236)) in order of increasing nonnegative n.at n=25A272555
- The first prime of 8 consecutive primes a, b, c, d, e, f, g, h such that a + g = c + e and b + h = d + f.at n=32A292618
- a(n) = Sum_{k=1..n} floor(n/k)^3.at n=30A318742
- Primes that are palindromes in primorial base.at n=28A333424
- Primes p such that the polynomial x^7 - 7*x + 3 (mod p) is the product of seven linear factors.at n=20A358147
- Prime numbersat n=3735